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tiny-mole [99]
3 years ago
7

PLEASE ANSWER ASAP WILL MARK BRAINLIEST solve for x write both solutions. 6x^2-7x-3=0

Mathematics
2 answers:
Ket [755]3 years ago
5 0
6x^2-7x-3=0\\\\6x^2-9x+2x-3=0\\\\3x(2x-3)+1(2x-3)=0\\\\(2x-3)(3x+1)=0\iff2x-3=0\ \vee\ 3x+1=0\\\\2x-3=0\ \ \ |+3\\2x=3\ \ \ |:2\\x=\dfrac{3}{2}\\\\3x+1=0\ \ \ |-1\\3x=-1\ \ \ |:3\\x=-\dfrac{1}{3}

Answer:\ \boxed{x=-\dfrac{1}{3}\ \vee\ x=\dfrac{3}{2}}

nadezda [96]3 years ago
3 0
6x^2-7x-3=0
Solve by completing the square:
x^2-7/6x-1/2=0 (divided everything by 6)
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of bb, the coefficient of x.<span>(b/2)2=<span>(−7/12)<span>2
</span></span></span>x2−7x/6+<span>(−7/12)2</span>=1/2+<span>(−7/12)<span>2
(simplify)
</span></span><span><span>x2−<span>7x6</span>+49144=121144</span><span>x2-<span>7x6</span>+49144=121144</span></span>Factor the perfect trinomial square into <span><span>(x−7/12)</span>2</span><span><span><span>(x−7/12)</span>2</span>=<span>121/144
x-7/12=squ. root of +/- 121/144
x-7/12= +/- 11/12
Solution1:
x-7/12=11/12
x=18/12
x=3/2
Solution 2:
</span></span>x-7/12=-11/12
x=-4/12
<span>x=-1/3
</span>Answers: 3/2, -1/3
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